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Harrizon [31]
3 years ago
9

As a pizza deliverer, Sarah is paid $6.25 per hour and $0.32 per mile. If t represents the number of hours Sarah works in a week

and m represents the number of miles driven for deliveries that week, which of the following equations represents P, Sarah’s income for the week (not including tips)?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0
<span>The equation= P = 6.25t + 0.32m </span>
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Answer:

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Step-by-step explanation:

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Using <em>factorization</em> method:

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Taking 2y^{2} common:

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Using <em>factorization</em> method:

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The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is 2y^{2} (y+ 10).

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

HCF \times LCM = p \times q

Using equations <em>(1)</em> and <em>(2)</em>: \Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)

Hence, <em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

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